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the coordinates of the vertices of quadrilateral golf are g(3, -1), o(1, -6), l(-4, -4), and f(-2, 1). prove or disprove that the quadrilateral is a square. explanation is not necessary, but be sure to show all work.

hint: identify the characteristics of a square (there are 3). use algebra to discover if this quadrilateral has those characteristics, or not.

It is proved that GOLF is a square.

Step-by-step explanation:

If we can prove that all the sides of a quadrilateral are of equal length and any one of the angles is right angle then we will be able to say that the quadrilateral is a square.

Now, given four vertices of the quadrilateral GOLF as G(3, -1), O(1, -6), L(-4, -4), and F(-2, 1).

Hence, length of GO is units.

Length of OL is units.

Length of LF is units.

And the length of FG is   units.

Hence, GO = OL = LF = FG = units

Now, the slope of line GO is given by .

Again the slope of OL is given by

So, the product of the slopes of GO and OL is =

Hence, GO ⊥ OL and ∠GOL = 90°

Therefore, it is proved that GOLF is a square. (Answer)

central angle of a triangle has the same measure as its intercepted arc.

step-by-step explanation: